a phone manufacturer want to compete in the touch screen market.Management understands that the leading product has a less thandesirable battery life. They aim to compete with a new touch screenphone that is guaranteed to have a battery more that two hourslonger than the leading product. A recent sample of 109 units ofthe leading product provides a mean battery life of 5 hours and 51minutes with a standard deviation of 42 minutes. A similar analysisof 90 units of the new product results in a mean battery life of 8hours and 48 minutes and a standard deviation of 68 minutes. It isnot reasonable to assume that the population variances of the twoproducts are equal.
a. Set up the hypothesis to test if the new product has abattery life more than 2 hours longer than the leading product.
b-1 Calculate the value of the test statistic